Atkin-Lehner |
2+ 3+ 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
55632a |
Isogeny class |
Conductor |
55632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
651561984 = 210 · 32 · 19 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 0 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-344,-2016] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:18:1] |
Generators of the group modulo torsion |
j |
4409211748/636291 |
j-invariant |
L |
3.1594764918502 |
L(r)(E,1)/r! |
Ω |
1.1189616740101 |
Real period |
R |
1.4117894138663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27816h2 |
Quadratic twists by: -4 |